The region T in the graph below is bounded by the curves y = 2 arctan(Vx – 1), y = "/2, and the x- and y-axes. Note that the points of intersection are given. (25) y= 2 arctan (Vx-1) -1- When T is rotated around the x-axis, let's call the resulting solid of revolution S. When T is rotated around the y-axis, let's call the resulting solid of revolution Sy. (a) Set up, but do not evaluate, the integral(s) for calculating the volume of S using the method of disks and/or washers. (b) Set up, but do not evaluate, the integral(s) for calculating the volume of Sy using the method of cylindrical shells. (c) Calculate the volume of S, using the method of disks and/or washers.

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Chapter1: Functions And Models
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The region T in the graph below is bounded by the curves y = 2 arctan(Vx – 1), y = "/2, and
the x- and y-axes. Note that the points of intersection are given.
(25)
y= 2 arctan (Vx-1)
-1-
When T is rotated around the x-axis, let's call the resulting solid of revolution S.
When T is rotated around the y-axis, let's call the resulting solid of revolution Sy.
(a) Set up, but do not evaluate, the integral(s) for calculating the volume of S using the
method of disks and/or washers.
(b) Set up, but do not evaluate, the integral(s) for calculating the volume of Sy using the
method of cylindrical shells.
(c) Calculate the volume of S, using the method of disks and/or washers.
Transcribed Image Text:The region T in the graph below is bounded by the curves y = 2 arctan(Vx – 1), y = "/2, and the x- and y-axes. Note that the points of intersection are given. (25) y= 2 arctan (Vx-1) -1- When T is rotated around the x-axis, let's call the resulting solid of revolution S. When T is rotated around the y-axis, let's call the resulting solid of revolution Sy. (a) Set up, but do not evaluate, the integral(s) for calculating the volume of S using the method of disks and/or washers. (b) Set up, but do not evaluate, the integral(s) for calculating the volume of Sy using the method of cylindrical shells. (c) Calculate the volume of S, using the method of disks and/or washers.
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